To find: Value of cot\(\frac{13\pi}{4}\)
We have,
cot\(\frac{13\pi}{4}\)
Putting π = 180°
= cot\(\frac{(13\times180^\circ)}{4}\)
= cot (13 × 45°)
= cot (585°)
= cot [90° x 6 + 45°]
= cot 45°
[Clearly, 585° is in IIIrd Quadrant and the multiple of 90° is even]
= 1 [\(\because\) cot 45° = 1]
